Since "Journey's End" release (patch 1.4+) there is a new journey mode with togglable god-mode and difficulty meter.
Is it possible for a new player to play in journey mode and get all achievements?
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Yes, you can earn achievements while in Journey Mode. I'm not entirely sure if all of them are achievable, however I can confirm that I received a few achievements (Vehicular Manslaughter, Benched) from a Journey Mode world. I don't see any achievements specifically relating to Master Mode either, so I would imagine you can achieve everything in Journey Mode.